(4y+7)(4y+7)=

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Solution for (4y+7)(4y+7)= equation:


Simplifying
(4y + 7)(4y + 7) = 0

Reorder the terms:
(7 + 4y)(4y + 7) = 0

Reorder the terms:
(7 + 4y)(7 + 4y) = 0

Multiply (7 + 4y) * (7 + 4y)
(7(7 + 4y) + 4y * (7 + 4y)) = 0
((7 * 7 + 4y * 7) + 4y * (7 + 4y)) = 0
((49 + 28y) + 4y * (7 + 4y)) = 0
(49 + 28y + (7 * 4y + 4y * 4y)) = 0
(49 + 28y + (28y + 16y2)) = 0

Combine like terms: 28y + 28y = 56y
(49 + 56y + 16y2) = 0

Solving
49 + 56y + 16y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + 4y)(7 + 4y) = 0

Subproblem 1

Set the factor '(7 + 4y)' equal to zero and attempt to solve: Simplifying 7 + 4y = 0 Solving 7 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 0 + -7 4y = 0 + -7 Combine like terms: 0 + -7 = -7 4y = -7 Divide each side by '4'. y = -1.75 Simplifying y = -1.75

Subproblem 2

Set the factor '(7 + 4y)' equal to zero and attempt to solve: Simplifying 7 + 4y = 0 Solving 7 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 0 + -7 4y = 0 + -7 Combine like terms: 0 + -7 = -7 4y = -7 Divide each side by '4'. y = -1.75 Simplifying y = -1.75

Solution

y = {-1.75, -1.75}

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